扩展仿射Weyl群、Baum-Connes对应与Langlands对偶
K理论与同调
2016-01-13 v2 算子代数
表示论
摘要
在本文中，我们考虑紧连通半单李群的仿射与扩展仿射 Weyl 群的 Baum-Connes 对应。我们证明此背景下的 Baum-Connes 对应源于该李群的 Langlands 对偶。
引用
@article{arxiv.1512.06662,
title = {Extended Affine Weyl groups, the Baum-Connes correspondence and Langlands duality},
author = {Graham A. Niblo and Roger Plymen and Nick Wright},
journal= {arXiv preprint arXiv:1512.06662},
year = {2016}
}
备注
Updated to take account of a number of small changes suggested by Maarten Solleveld, and to include a reference to his thesis, which contains a number of very interesting examples including the illustrative example given in section 2 of our paper